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Research for the constructions of designs in the design of experiments

Research Project

Project/Area Number 16540114
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionOsaka Prefecture University

Principal Investigator

KURIKI Shinji  Osaka Prefecture University, Graduate School of Engineering, Professor, 工学研究科, 教授 (00167389)

Co-Investigator(Kenkyū-buntansha) ARIZONO Ikuo  Osaka Prefecture University, Graduate School of Engineering, Associate Professor, 工学研究科, 助教授 (20175988)
SHIRAKURA Teruhiro  Kobe University, Faculty of Human Development, Professor, 発達科学部, 教授 (30033913)
Project Period (FY) 2004 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥2,700,000 (Direct Cost: ¥2,700,000)
Fiscal Year 2005: ¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 2004: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsThe design of experiments / Constructions / Split-block designs / Split-plot designs
Research Abstract

The designs considered under this research are split-block designs and split-plot designs, which are two special types of the factorial experiments with two factors. Hering and Mejza, S. (1997,2002) etc. gave the constructions of split designs using the Kronecker product of two subdesigns. But the split designs constructed by them are larger and the designs are not useful practically. So we were planning to construct smaller split designs. First of all, we defined the partial Kronecker product of two subdesigns. We constructed split-block designs and we characterized the statistical properties of the split-block designs, which is seen in Mejza, I., Kuriki and Mejza, S. (2001).
In 2004, we considered split-block designs and we generalized the results given by Mejza, I., Kuriki and Mejza, S. (2001). Here we generally obtained the standard contrasts of the treatment parameters in the multistratum analysis. This result is very interesting, because we can usually obtain the stratum efficiency factors, but we cannot obtain the standard contrasts in the general form.
In 2005, we considered split-plot designs. We constructed smaller split-plot designs and we characterized the statistical properties of the split-plot designs by use of the results obtained in 2004.
As the next theme of our research, we are planning to construct split designs with control treatments and test treatments. For example, control treatments are the standard varieties of corn and test treatments are new varieties in the agricultural experiments. We expect that the results for the split designs in 2004 and 2005 will be applied to construct such split designs.

Report

(3 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • Research Products

    (50 results)

All 2006 2005 2004 Other

All Journal Article (49 results) Book (1 results)

  • [Journal Article] Incomplete split-plot designs generated from α-resolvable designs2006

    • Author(s)
      Ozawa, K.
    • Journal Title

      Statistics & Probability Letters 76

      Pages: 1245-1254

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 最大期待過剰損失の上限値を保証する計量選別型検査法2006

    • Author(s)
      竹本康彦
    • Journal Title

      日本経営工学会論文誌 57

      Pages: 51-58

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Incomplete split-plot designs generated from α-resolvable designs2006

    • Author(s)
      Ozawa, K., Kuriki, S.
    • Journal Title

      Statistics & Probability Letters 76

      Pages: 1245-1254

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Sampling Inspection Plan with Screening by Variables for Assuring Average Outgoing Surplus Quality Loss Limit2006

    • Author(s)
      Takemoto, Y., Arizono, I.
    • Journal Title

      Journal of Japan Industrial Management Association (in Japanese) 57

      Pages: 51-58

    • NAID

      110007521652

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Incomplete split-plot designs generated from α-resolvable designs2006

    • Author(s)
      K.Ozawa
    • Journal Title

      Statistics & Probability Letters 76(発表予定)

      Pages: 1245-1254

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Resolvable semi-balanced incomplete split-block designs2005

    • Author(s)
      Kuriki, S.
    • Journal Title

      Metrika 61

      Pages: 9-16

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A Study of Multivariate (X^^-, S) Control Chart based on Kullback-Leibler Information2005

    • Author(s)
      Takemoto, Y.
    • Journal Title

      International Journal of Advanced Manufacturing Technology 25

      Pages: 1205-1210

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 納期遅れに対するペナルティを考慮した受注生産システムの最適発注方策に関する一解法2005

    • Author(s)
      竹本康彦
    • Journal Title

      システム制御情報学会論文誌 18

      Pages: 100-107

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 臨時設備による能力増強を考慮した受注生産システム2005

    • Author(s)
      中瀬逸平
    • Journal Title

      日本経営工学会論文誌 56

      Pages: 38-45

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 偶発故障と磨耗故障の2つの故障モードをもつシステムのアベイラビリティ解析2005

    • Author(s)
      高盛加佳子
    • Journal Title

      日本経営工学会論文誌 56

      Pages: 101-108

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 入出力特性に基づく工程管理システムの構築2005

    • Author(s)
      竹本康彦
    • Journal Title

      日本経営工学会論文誌 56

      Pages: 265-273

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 時系列工程管理技法に基づく管理状態からの逸脱の検出および逸脱期の識別2005

    • Author(s)
      竹本康彦
    • Journal Title

      応用統計学 34

      Pages: 99-120

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Resolvable semi-balanced incomplete split-block designs2005

    • Author(s)
      Kuriki, S., Mejza, I., Jimbo, M., Mejza, S., Ozawa, K.
    • Journal Title

      Metrika 61

      Pages: 9-16

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A Study of Multivariate (X^^-, S) Control Chart Based on Kullback-Leibler Information2005

    • Author(s)
      Takemoto, Y., Arizono, I.
    • Journal Title

      International Journal of Advanced Manufacturing Technology 25

      Pages: 1205-1210

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A Solution for Optimal Order Splitting Policy of Make-to-Order Manufacturing Systems Based on Penalty for Delay in Appointed Date of Delivery2005

    • Author(s)
      Takemoto, Y., Arizono, I.
    • Journal Title

      Transactions of the Institute of Systems, Control and Information Engineering (in Japanese) 18

      Pages: 100-107

    • NAID

      10014507825

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Analysis of a Build-to-Order Manufacturing System with a Standby Facility2005

    • Author(s)
      Nakase, I., Takemoto, Y., Arizono, I.
    • Journal Title

      Journal of Japan Industrial Management Association (in Japanese) 56

      Pages: 38-45

    • NAID

      110007539905

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] System Availability Analysis with Two Failure Modes of Random Failure and Wear-out Failure2005

    • Author(s)
      Takamori, K., Nakase, I., Takemoto, Y., Arizono, I.
    • Journal Title

      Journal of Japan Industrial Management Association (in Japanese) 56

      Pages: 101-108

    • NAID

      110007539848

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The Architecture of Statistical Process Monitoring System Based on Both Input and Output Properties2005

    • Author(s)
      Takemoto, Y., Yamaguchi, T., Arizono, I.
    • Journal Title

      Journal of Japan Industrial Management Association (in Japanese) 56

      Pages: 265-273

    • NAID

      110007539921

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Detection of Out-of-Control State and Discrimination of Switchover Time Based on a Time Serial Process Monitoring Procedure2005

    • Author(s)
      Takemoto, Y., Arizono, I.
    • Journal Title

      Japanese Journal of Applied Statistics (in Japanese) 34

      Pages: 99-120

    • NAID

      10017178527

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Resolvable semi-balanced incomplete split-block designs2005

    • Author(s)
      S.Kuriki
    • Journal Title

      Metrika 61

      Pages: 9-16

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A study of multivariate (X^^-,S) control chart based on Kullback-Leibler Information2005

    • Author(s)
      Y.Takemoto
    • Journal Title

      International Journal of Advanced Manufacturing Technology 25・11-12

      Pages: 1205-1210

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 入出力特性に基づく工程管理システムの構築とAICによる要因解析2005

    • Author(s)
      竹本康彦
    • Journal Title

      日本経営工学会論文誌 56・4

      Pages: 265-273

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 時系列工程管理技法に基づく管理状態からの逸脱の検出および逸脱期の識別2005

    • Author(s)
      竹本康彦
    • Journal Title

      応用統計学 34・2

      Pages: 99-120

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Incomplete split-plot designs generated by some resolvable balanced designs2004

    • Author(s)
      Ozawa, K.
    • Journal Title

      Statistics & Probability Letters 68

      Pages: 9-15

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Proposal of Control Charts for Extreme Value Distribution Based on S_U Approximation2004

    • Author(s)
      Kawamura, Y.
    • Journal Title

      Proc.of Eighth International Conference on Manufacturing & Management

      Pages: 430-437

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Statistical Process Monitoring Procedure Based on Both Input and Output Properties for Specifying Assignable Cause of Out-of-Control State2004

    • Author(s)
      Takemoto, Y.
    • Journal Title

      Proc.of Eighth International Conference on Manufacturing & Management

      Pages: 454-461

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Analysis of Build-to-Order Manufacturing System with Standby Facilities2004

    • Author(s)
      Nakase, I.
    • Journal Title

      Proc.of Eighth International Conference on Manufacturing & Management

      Pages: 770-777

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 緊急修理工を擁するk-out-of-n : G Repairable Systemの解析2004

    • Author(s)
      竹本康彦
    • Journal Title

      電子情報通信学会論文誌 J87.A

      Pages: 1133-1140

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Kullback-Leibler情報量に基づく多変量(X^^-, S)同時管理図の設計およびその管理特性に関する研究2004

    • Author(s)
      竹本康彦
    • Journal Title

      日本経営工学会論文誌 55

      Pages: 189-196

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 尺度母数と形状母数の両方を寿命特性の変化要因とするWeibull寿命分布に関する計量規準型信頼性試験への定数打切り方式の導入2004

    • Author(s)
      川村優貴
    • Journal Title

      日本経営工学会論文誌 55

      Pages: 302-307

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Incomplete split-plot designs generated by some resolvable balanced designs2004

    • Author(s)
      Ozawa, K., Mejza, S., Jimbo, M., Mejza, I., Kuriki, S.
    • Journal Title

      Statistics & Probability Letters 68

      Pages: 9-15

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Proposal of Control Charts for Extreme Value Distribution Based on S_U Approximation2004

    • Author(s)
      Kawamura, Y., Takemoto, Y., Arizono, I.
    • Journal Title

      Proc.of Eighth International Conference on Manufacturing & Management

      Pages: 430-437

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Statistical Process Monitoring Procedure Based on Both Input and Output Properties for Specifying Assignable Cause of Out-of-Control State2004

    • Author(s)
      Takemoto, Y., Arizono, I.
    • Journal Title

      Proc.of Eighth International Conference on Manufacturing & Management

      Pages: 454-461

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Analysis of Build-to-Order Manufacturing System with Standby Facilities2004

    • Author(s)
      Nakase, I., Takemoto, Y., Arizono, I.
    • Journal Title

      Proc.of Eighth International Conference on Manufacturing & Management

      Pages: 770-777

    • NAID

      110007539905

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Analysis of k-out-of-n : G Repairable Systems with Standby Repairman2004

    • Author(s)
      Takemoto, Y., Nakase, I., Arizono, I.
    • Journal Title

      The IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences (in Japanese) J87-A

      Pages: 1133-1140

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A Study of Multivariate (X^^-, S) Simultaneous Control Chart Based on Kullback-Leibler Information2004

    • Author(s)
      Takemoto, Y., Arizono, I.
    • Journal Title

      Journal of Japan Industrial Management Association (in Japanese) 55

      Pages: 189-196

    • NAID

      110004050472

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Introduction of a Fixed-Number Censoring Procedure for Reliability Testing of Weibull Distribution Considering the Influence of Both Shape and Scale Parameters2004

    • Author(s)
      Kawamura, Y., Takemoto, Y., Arizono, I.
    • Journal Title

      Journal of Japan Industrial Management Association (in Japanese) 55

      Pages: 302-307

    • NAID

      110004050484

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Incomplete split-plot designs generated by some resolvable balanced designs2004

    • Author(s)
      K.Ozawa
    • Journal Title

      Statistics & Probability Letters 68

      Pages: 9-15

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Proposal of Control Charts for Extreme Value Distribution Based on S_υ Approximation2004

    • Author(s)
      Y.Kawamura
    • Journal Title

      Proc.of Eighth International Conference on Manufacturing & Management

      Pages: 430-437

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Analysis of Build-to-Order Manufacturing System with Standby Facilities2004

    • Author(s)
      I.Nakase
    • Journal Title

      Proc.of Eighth International Conference on Manufacturing & Management

      Pages: 770-777

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Constructions for rectangular designs

    • Author(s)
      Ozawa, K.
    • Journal Title

      Utilitas Mathematica (発表予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Model identification using search linear models and search designs

    • Author(s)
      Ghosh, S.
    • Journal Title

      The series Bolyai mathematical Studies (発表予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 磨耗故障と偶発故障の故障モードをもつシステムのアベイラビリティ解析と最適保全政策

    • Author(s)
      中瀬逸平
    • Journal Title

      日本経営工学会論文誌 (発表予定)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Constructions for rectangular designs

    • Author(s)
      Ozawa, K., Mishima, M., Kuriki, S., Jimbo, M.
    • Journal Title

      Utilitas Mathematica (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Model identification using search linear models and search designs

    • Author(s)
      Ghosh, S., Shirakura, T., Srivastava, J.N.
    • Journal Title

      The series Bolyai mathematical Studies (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] System Availability Analysis and Optimum Preservation Policy with Random Failure and Wear-out Failure Modes

    • Author(s)
      Nakase, I., Takamori, K., Arizono, I.
    • Journal Title

      Journal of Japan Industrial Management Association (in Japanese) (to appear)

    • NAID

      110007521675

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Resolvable semi-balanced incomplete split-block designs

    • Author(s)
      S.Kuriki
    • Journal Title

      Metrika (発表予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Constructions for rectangular designs

    • Author(s)
      K.Ozawa
    • Journal Title

      Utilitas Mathematica (発表予定)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Model identification using search linear model and seearch designs

    • Author(s)
      S.Ghosh
    • Journal Title

      The series Bolyai mathematical Studies, Janos Bolyai mathematical Society (発表予定)

    • Related Report
      2004 Annual Research Report
  • [Book] 数理統計学2006

    • Author(s)
      長尾壽夫
    • Total Pages
      242
    • Publisher
      共立出版社
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary

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Published: 2004-04-01   Modified: 2016-04-21  

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